64157118720 has 288 divisors, whose sum is σ = 219943164672. Its totient is φ = 15880421376.

The previous prime is 64157118691. The next prime is 64157118743. The reversal of 64157118720 is 2781175146.

It is a super-2 number, since 2×64157118720² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4758709 + ... + 4772171.

It is an arithmetic number, because the mean of its divisors is an integer number (763691544).

Almost surely, 2^64157118720 is an apocalyptic number.

64157118720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64157118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109971582336).

64157118720 is an abundant number, since it is smaller than the sum of its proper divisors (155786045952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64157118720 is a wasteful number, since it uses less digits than its factorization.

64157118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 64157118720 in words is "sixty-four billion, one hundred fifty-seven million, one hundred eighteen thousand, seven hundred twenty".